WO2009130570A2 - Relative position detecting apparatus, and relative position detecting system - Google Patents
Relative position detecting apparatus, and relative position detecting system Download PDFInfo
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- WO2009130570A2 WO2009130570A2 PCT/IB2009/005320 IB2009005320W WO2009130570A2 WO 2009130570 A2 WO2009130570 A2 WO 2009130570A2 IB 2009005320 W IB2009005320 W IB 2009005320W WO 2009130570 A2 WO2009130570 A2 WO 2009130570A2
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- WIPO (PCT)
- Prior art keywords
- movable object
- observation data
- positioning
- objects
- reference movable
- Prior art date
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Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/38—Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
- G01S19/39—Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/42—Determining position
- G01S19/43—Determining position using carrier phase measurements, e.g. kinematic positioning; using long or short baseline interferometry
- G01S19/44—Carrier phase ambiguity resolution; Floating ambiguity; LAMBDA [Least-squares AMBiguity Decorrelation Adjustment] method
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/01—Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/13—Receivers
- G01S19/20—Integrity monitoring, fault detection or fault isolation of space segment
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/38—Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
- G01S19/39—Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/42—Determining position
- G01S19/51—Relative positioning
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S5/00—Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations
- G01S5/0009—Transmission of position information to remote stations
- G01S5/0072—Transmission between mobile stations, e.g. anti-collision systems
Definitions
- the invention relates to a relative position detecting apparatus which is mounted in a movable object and detects the relative position of that movable object with respect to another moving object, as well as to a relative position detecting system made up of three or more movable objects each of which is provided with the relative position detecting apparatus.
- apparatuses that observe for satellite signals, obtain the observed data, and calculate the position of a movable object by performing a positioning calculation are used in vehicle navigation systems, marine vessels, and mobile phones and the like.
- Single point positioning is a method which calculates pseudo ranges to a plurality of satellites based on the observed data obtained at a single observation point, and then calculates the position of the observation point according to the principle of triangulation.
- Interferometric positioning is a method which calculates the position of a measure point by obtaining a base vector from a known point to the measure point based on the observed data obtained at the observation point.
- Interferometric positioning uses a carrier phase with a short cycle compared to a C/A code that is normally used in single point positioning. Therefore, the frequency (i.e., the integer bias) from the satellite to the observation point must be specified.
- JP-A-2003-270319 describes an invention relating to this interferometric positioning.
- JP-A-2003-270319 describes a method for calculating satellite positioning that involves the following steps. That is, for a satellite signal from the same satellite from which signals are received at a position on a reference side and a position on a positioning side (i.e., a measuring side), a relational expression between i) a carrier phase difference, ii) a carrier phase bias of an integer included in the carrier phase difference, iii) a phase difference between the positioning side and the reference side related to a reference phase by observation of the carrier phase, iv) the position of the satellite sending the satellite signal received by the reference side and the positioning side, and v) the positions of the reference side and the positioning side, is obtained.
- a first aspect of the invention relates to a relative position detecting apparatus which is mounted in one movable object and detects the relative position of the one movable object with respect to another movable object.
- This relative position detecting apparatus includes observation data obtaining means for obtaining observation data by observing a satellite signal, communicating means for communicating with the other movable object, positioning calculating means for performing a positioning calculation using the observation data obtained by the observation data obtaining means, and observation data received from the other movable object by the communicating means, and reliability determining means for determining the reliability of the results of the positioning calculation performed by the positioning calculating means.
- the communicating means transmits data that includes the observation data obtained by the observation data obtaining means to the other movable objects; when the one movable object is the second non-reference movable object, the positioning calculating means calculates the relative position of the one movable object with respect to the reference movable object by performing interferometric positioning that uses the obtained observation data and data that includes observation data received from the reference movable object, and the communicating means transmits data that includes an integer bias calculated in the interferometric positioning to the first non-reference movable
- the relative positions among three or more movable objects can be obtained by interferometric positioning, and the reliability of the interferometric positioning can be efficiently determined.
- the relative position detecting apparatus it may be determined whether the one movable object is the reference movable object based on communication with the other movable objects.
- the relative position detecting apparatus when the one movable object is one of the non-reference movable objects, it may be determined whether the one movable object is the first non-reference movable object or the second non-reference movable object based on communication with the other one or more non-reference movable objects.
- a second aspect of the invention relates to a relative position detecting apparatus which is mounted in one movable object and detects the relative position of the one movable object with respect to another movable object.
- This relative position detecting apparatus includes observation data obtaining means for obtaining observation data by observing a satellite signal, communicating means for communicating with the other movable object, positioning calculating means for performing a positioning calculation using the observation data obtained by the observation data obtaining means, and observation data received from the other movable object by the communicating means, and reliability determining means for determining the reliability of the results of the positioning calculation performed by the positioning calculating means.
- the communicating means transmits data that includes the observation data obtained by the observation data obtaining means to the other movable objects.
- the positioning calculating means calculates the relative position of the one movable object with respect to the reference movable object by performing interferometric positioning using the obtained observation data and the data that includes observation data received from the reference movable object, and the reliability determining means performs a ratio test on the interferometric positioning, and if a ratio value
- the communicating means may transmit and receive observation data to and from the other one or more non-reference movable objects, and the reliability determining means may determine the reliability based on a comparison of i) the results of interferometric positioning regarding the relationship between the one movable object and the reference movable object, and ii) the results of the interferometric positioning regarding the relationship between the one movable object and the other one or more non-reference movable objects performed by the positioning calculating means or the results of the interferometric positioning performed by the other one or more non-reference movable objects.
- the communicating means may transmit and receive observation data to and from the other one or more non-reference movable objects, and the reliability determining means may determine the reliability based on a comparison of i) the results of interferometric positioning regarding the relationship between the one movable object and the reference movable object, and ii) the results of the interferometric positioning regarding the relationship between the one movable object and the other one or more non-reference movable
- the results that are to be compared with the results of interferometric positioning regarding the relationship between the one movable object and the reference movable object are the results of interferometric positioning regarding the relationship between the one movable object and the other one or more non-reference movable objects or the results of interferometric positioning performed by the other one or more non-reference movable objects.
- a third aspect of the invention relates to a relative position detecting system that includes three or more movable objects each of which is provided with observation data obtaining means for obtaining observation data by observing a satellite signal, communicating means for communicating with the other movable objects, and positioning calculating means for performing a positioning calculation using the observation data obtained by the observation data obtaining means and observation data received from the other movable objects by the communicating means.
- the reference movable object transmits data that includes the observation data obtained by the observation data obtaining means to the other movable objects;
- the positioning calculating means of the non-reference movable objects calculate the relative positions of the non-reference movable objects with respect to the reference movable object by performing interferometric positioning using the obtained observation data and data that includes observation data received from the reference movable object;
- the second non-reference movable object transmits data that includes an integer bias calculated in the interferometric positioning to the first non-reference movable objects and receives the results from determining the reliability of the interferometric positioning based
- the relative positions among three or more movable objects can be obtained by interferometric positioning, and the reliability of the interferometric positioning can be efficiently determined.
- one of the movable objects may be determined to be the reference movable object and the other movable objects may be determined to be the non-reference movable objects by the three or more movable objects that make up the relative position detecting system communicating with each another.
- the relative position detecting system it may be determined, for each of the non-reference movable objects, whether the non-reference movable object is the first non-reference movable object or the second non-reference movable object by the non-reference movable objects communicating with each other.
- a fourth aspect of the invention relates to a relative position detecting system that includes three or more movable objects each of which is provided with observation data obtaining means for obtaining observation data by observing a satellite signal, communicating means for communicating with the other movable objects, and positioning calculating means for performing a positioning calculation using the observation data obtained by the observation data obtaining means and observation data received from the other movable objects by the communicating means.
- the reference movable object transmits data that includes the observation data obtained by the observation data obtaining means to the other movable objects; and one of the non-reference movable objects uses the positioning calculating means to calculate the relative position of the non-reference movable object with respect to the reference movable object by performing interferometric positioning using the obtained observation data and data that includes the observation data received from the reference movable object, and performs a ratio test on the interferometric positioning, and if the ratio value of the performed ratio test is equal to or less than a predetermined value, identifies the satellite signal related to the observation data responsible for
- one of the movable objects may be determined to be the reference movable object and the other movable objects may be determined to be the non-reference movable objects by the three or more movable objects that make up the relative position detecting system communicating with each another.
- the non-reference movable object may transmit and receive observation data to and from the other one or more non-reference movable objects, perform interferometric positioning regarding the relationship with the other one or more non-reference movable objects, and make a reliability determination based on a comparison of i) the results of interferometric positioning regarding the relationship with the reference movable object, and ii) the results of the performed interferometric positioning or the results of the interferometric positioning performed by the other one or more non-reference movable objects, or receive reliability determination results from the one of the other one or more non-reference movable objects.
- the non-reference movable objects may communicate with each other and each non-reference movable object may determine whether to perform interferometric positioning regarding the relationship with the other one or more non-reference movable objects or have one of the other one or more non-reference movable objects perform interferometric positioning. Further, observation data of a satellite signal not used in the interferometric positioning regarding the relationship with the reference movable object may be used in the interferometric positioning regarding the relationship with the other one or more non-reference movable objects.
- This invention makes it possible to provide a relative position detecting apparatus and a relative position detecting system capable of obtaining the relative positions of three or more movable objects using interferometric positioning, as well as efficiently determining the reliability of that interferometric positioning.
- FIG 1 is a view showing a frame format of the system structure of a relative position detecting system according to a first example embodiment of the invention
- FIG 2 is a view showing an example structure of a relative position detecting apparatus according to the first example embodiment of the invention
- FIG 3 is a view showing how processing performed by vehicles is shared in the relative position detecting system according to the first example embodiment of the invention
- FIG 4 is a sequential diagram showing the flow of processing performed by the vehicles in the relative position detecting system according to the first example embodiment of the invention
- FIG 5 is a flowchart illustrating the flow of a process executed by a control apparatus (mainly a reliability determining portion) of a non-reference vehicle according to a second example embodiment of the invention, which is executed after performing a RTK positioning calculation.
- a control apparatus mainly a reliability determining portion
- FIG. 1 is a view showing a frame formaf of the system structure of the relative position detecting system 1.
- This relative position detecting system 1 is formed by a relative position detecting apparatus 30A, 3OB, 30C, ... being mounted in each of three or more movable objects (in this description these movable objects are vehicles) A, B, C, ....
- GPS Global Positioning System
- other examples of movable objects include, but are not limited to, two-wheeled motor vehicles, trains, marine vessels, aircraft, forklifts, robots, and information terminals such as mobile phones that move with a person.
- Each GPS satellite orbits the earth and constantly transmits navigation messages.
- These navigation messages include, for example, information pertaining to the orbit of the GPS satellite, a clock correction value, a correction coefficient for the ionosphere, and a health message and the like.
- the navigation messages are constantly being transmitted toward Earth, and are dispersed by C/A code and transmitted on a Ll carrier (which is on a frequency of 1575.42 MHz).
- GPS satellites in operation orbiting the globe at altitudes of approximately 20,000 km.
- the GPS satellites are arranged evenly in six different orbital planes around the earth, each inclined 55 degrees to the equator, with four GPS satellites in each orbital plane. Therefore, at least five GPS satellites can be observed at any given time anywhere on earth as long as it is an area where the sky is visible.
- FIG 2 is a view showing an example structure of the relative position detecting apparatus 30.
- This relative position detecting apparatus 30 includes a GPS receiver 40, a communication device 50, and a control device 60.
- the GPS receiver 40 is an example of observation data obtaining means of the invention
- the communication device 50 is an example of communicating means of the invention.
- the GPS receiver 40 houses an oscillator, not shown, the frequency of which matches the carrier frequency of a GPS satellites 10.
- the GPS receiver 40 converts the signal received from each GPS satellite (i.e., the satellite signal) by a GPS antenna 42 into an intermediate frequency and then performs C/A code synchronization using a C/A code generated in the GPS receiver 40 to retrieve a navigation message.
- the GPS receiver 40 measures an integrated value ⁇ k (t) of a carrier phase at time t, as shown in the expression below, based on a carrier from the GPS satellite 10k.
- the carrier phase integrated value ⁇ k may also be measured for both the Ll wave and a L2 wave (which is on a frequency of 1227.6 MHz).
- Nk is an integer bias
- ⁇ k is the travel time from the GPS satellite 10 k to the GPS receiver 40
- E k is noise (error).
- ⁇ k (t) ⁇ k (t) - ⁇ k (t - ⁇ k ) + N k + ⁇ k (t) ... (1)
- the GPS receiver 40 measures a pseudo range pt, as shown in the expression below, based on the C/A code transmitted on each carrier from the GPS satellite 10 k .
- c is the speed of light
- b k is the clock bias which corresponds to the range error due to clock error within a GPS receiver 44.
- p k (t) c ⁇ ⁇ k + b k ...
- the communication device 50 is a device that communicates with other vehicles.
- the communication device 50 transmits and receives information to and from other vehicles using a frequency band of 5.8 GHz that is used with DSRC (Dedicated Short Range Communication).
- DSRC Dedicated Short Range Communication
- the invention is not limited to this.
- the communication device 50 may also communicate wirelessly using a beacon or the like, or communicate wirelessly by means of a short range radio communication system such as Bluetooth (registered trademark).
- the communication device 50 decodes the signals and the like received from the other vehicles and outputs the obtained information to the control device 60.
- the control device 60 is a microcomputer that is centered around a
- the control device 60 also includes a storage device such as a HDD (Hard
- the control device 60 has, as main functional blocks that function by the CPU executing the programs stored in the ROM, a communication control portion 62, a single point positioning calculating portion 64, an interferometric positioning calculating portion 66, and a reliability determining portion 68.
- the single point positioning calculating portion 64 and the interferometric positioning calculating portion 66 are examples of positioning calculating means of the invention.
- the communication control portion 62 communicates with the other vehicles and assigns a role of (1) a reference vehicle, (2) a non-reference vehicle (in charge of making a reliability determination), or (3) a non-reference vehicle (not in charge of making the reliability determination) to each of the three of more vehicles including the host vehicle.
- the specific method by which the roles are assigned is not particularly limited. That is, any one of various methods may be used.
- the vehicle that initiates a call may be designated as the reference vehicle, and the vehicle that replies first may be designated as the non-reference vehicle (in charge of making the reliability determination), while the vehicle that replies later may be designated as the non-reference vehicle (not in charge of making the reliability determination).
- the single point positioning calculating portion 64, the interferometric positioning calculating portion 66, and the reliability determining portion 68 either perform processing or do not perform processing depending on the role assumed by the vehicle (i.e., the host vehicle).
- FIG 3 is a view showing how the processing performed by the vehicles is shared in the relative position detecting system 1.
- vehicle A will be the reference vehicle
- vehicle B will be the non-reference vehicle (not in charge of making the reliability determination)
- vehicle C will be the non-reference vehicle (in charge of making the reliability determination).
- observation data when necessary
- the data of the phase integrated value ⁇ k will be referred to as "Ll data” and “L2 data” corresponding to the Ll wave and the L2 wave, respectively.
- FIG 4 is a sequential diagram showing the flow of the processing performed by the vehicles (i.e., the relative position detecting apparatuses mounted in the vehicles, hereinafter simply omitted) in the relative position detecting system 1.
- the step numbers in the following description correspond to the step numbers in the drawing.
- the reference vehicle A transmits the Ll data, the L2 data, and the C/A data of the five satellites, as well as the position XA of the vehicle according to single point positioning calculated by the single point positioning calculating portion 64, together with the receiving time of the signals upon which these calculations are based, to the non-reference vehicles B and C (SlOO and S102).
- the single point positioning calculating portion 64 then calculates the position of the host vehicle by single point positioning using the pseudo ranges P k to at least four GPS satellites 10 k measured by the GPS receiver 40.
- a description of the position calculation by single point positioning is well known by those skilled in the art and so will be omitted here. Incidentally, when the position X A of the vehicle using the pseudo ranges p k is to be calculated in the non-reference vehicles B and C, the transmission of the position XA of the vehicle by single point positioning from the reference vehicle A may be omitted.
- the interferometric positioning calculating portion 66 performs a RTK positioning calculation of one sample of data based on observation data (Ll data and L2 data) of the five satellites measured by the GPS receiver 40 of the non-reference vehicle B in synchronization with the receiving time received from the reference vehicle A, and observation data received from the reference vehicle A, and then calculates a vector XAB > and a double phase difference N Jh AB of an integer bias (S 104).
- the superscript j and h represent a selected two of the five satellites.
- the receiving time synchronization is performed using a GPS time or a PSS signal or the like.
- the interferometric positioning calculating portion 66 similarly performs a RTK positioning calculation of one sample of data based on observation data (Ll data and L2 data) measured by the GPS receiver 40 of the non-reference vehicle C in synchronization with the receiving time received from the reference vehicle A, and observation data received from the reference vehicle A, and then calculates a vector X A c, and a double phase difference of an integer bias (S 106).
- the RTK positioning calculation is one type of interferometric positioning.
- the interferometric positioning calculating portion 66 of the non-reference vehicle B calculates the double phase difference N ⁇ AB of the integer bias and the phase position (vector X A B) of the non-reference vehicle B with respect to the reference vehicle A according to the least squares method, with the double phase difference ⁇ A B of the observation data as the observation quantity and the position XB of the non-reference vehicle B and the double phase difference N J1I AB of the integer bias as state variables.
- the phase integrated value of the L2 wave may be added in the same manner as the phase integrated value of the Ll wave.
- [X A (t), Y A (t), Z A (t)] in Expression (4) is a coordinate value on a world coordinate system of the reference vehicle A at time t. A value calculated by single point positioning can be used for the reference vehicle A.
- [XB (t), YB (0, ZB (t)] is a coordinate value (unknown) of the non-reference vehicle B at time 1
- [Xj (t), Yj (t), Z j (t)] and [X h (t), Y h (t), Z h (t)] are coordinate values of the GPS satellites 10 j and 1Oh, respectively, at time t.
- N JH AB is a double phase difference of the integer bias and satisfies Expression (5) below.
- N jh AB (N j A - N J B) - (N h A - N h B ) ... (5)
- V is the observation noise
- ⁇ [XB, YB, Z B , N 12 AB, N 13 AB, N 14 A 3 , N 15 AB ] T (where ⁇ indicates transposition).
- the observation quantity Z in Expression (8) is the double phase difference ⁇ AB of the phase integrated value and the double phase difference O ⁇ AB of the pseudo range.
- the observation equation of Expression (8) is linear, but the observation quantity Z in Expressions (4) and (7) is nonlinear regarding the state variables XB, Y B , and Z B - Therefore, the terms in Expressions (4) and (7) are each partially differentiated by the state variables XB, Y B , and Z B to obtain the observation matrix H in Expression (8) above.
- the observation matrix H is as shown below.
- the observation matrix H incorporates both of these two observation matrixes H 1 and H 2 .
- the interferometric positioning calculating portion 66 obtains the integer root (i.e., the wave number) with the smallest error with respect to the calculated real root, for example, as a first candidate, and then obtains the integer solution with the next smallest error as the second candidate.
- the LAMBDA method which solves a problem by decorrelating the integer bias and narrowing the search domain of the integer solution, may also be used for this method.
- an integer solution may be derived by the least squares method of another integer or by rounding off.
- the coordinate XB of the non-reference vehicle B in which the coordinate of the reference vehicle A is a known value can be obtained, so the vector X A B can be obtained. Also, the double phase difference N ⁇ A B of the integer bias can be obtained.
- the RTK positioning calculation is performed using one sample of data, so it is expected that the processing will be easy and quick compared to when a RTK positioning calculation is performed in time series using a Kalman filter or the like.
- the non-reference vehicle B calculates the vector X AB and the double phase difference N ⁇ AB of the integer bias
- the non-reference vehicle C calculates the vector X A c and the double phase difference N* h A c of the integer bias
- the reliability determining portion 68 in the non-reference vehicle C determines the reliability (i.e., makes a reliability determination) (SIlO). This reliability determination is made based on whether Expression (11) below is satisfied. If Expression (11) is satisfied, the reliability of the calculated double phase difference of the integer bias is high so it can be determined that the reliability of the calculated relative positions among vehicles A, B, and C is high.
- ⁇ is the wavelength (approximately 20 [cm]) of the carrier
- ⁇ is a predetermined value set in advance to a value equal to or less than 2 / ⁇ (such as approximately 5 to 10 [cm]).
- f (x B , xc) is expressed by Expression (12).
- the coordinate XB of the non-reference vehicle B is obtained by adding the vector X A B to the coordinate X A of the reference vehicle A.
- the coordinate Xc of the non-reference vehicle C is obtained by adding the vector XA C to the coordinate x A of the reference vehicle A.
- the non-reference vehicle C then transmits the results of the reliability determination to the reference vehicle A and the non-reference vehicle B (S 112 and S 114). If the determination results obtained by the non-reference vehicle C indicate high reliability, the integer solution is fixed in the vehicles (S116, S118, and S120), and then the relative positions among the vehicles are calculated by RTK positioning calculations using that integer solution. If, on the other hand, the determination results obtained by the non-reference vehicle C indicate low reliability, the integer solution is not fixed in the vehicles. Instead, interim measures are taken, e.g., the relative positions are tentatively calculated using the last obtained integer solution.
- the reliability of the integer bias can be efficiently determined when three or more vehicles detect their relative positions by the RTK positioning calculation.
- the data transmitted from the non-reference vehicle B to the non-reference vehicle C is the vector XAB, the double phase difference N jh AB of the integer bias of two (i.e., a pair of) satellites, and a single phase difference ⁇ B of the phase integrated value related to the same pair of satellites.
- the position of either one of the vehicles according to single point positioning must be transmitted when necessary, in addition to the phase integrated values of at least five satellites.
- the processing load of the RTK positioning calculation itself is relatively large.
- the communication and processing loads can be reduced compared to what they are when determining the reliability by performing RTK positioning calculations between vehicles A and B, between vehicles A and C, and between vehicles B and C, and then performing a ratio test or the like. Also, there is no bothersome processing that is otherwise required when there is a discrepancy between the results from performing the RTK positioning calculations between vehicles A and B, between vehicles A and C, and between vehicles B and C. [0066] Accordingly, the relative position detecting system 1 and the relative position detecting apparatus 30 that makes up this relative position detecting system 1 in this example embodiment are able to obtain the relative positions among three or more movable objects by interferometric positioning, and efficiently determine the reliability of the interferometric positioning.
- the control device 60 has the communication control portion 62, the single point positioning calculating portion 64, the interferometric positioning calculating portion 66, and the reliability determining portion 68. [0069] In a predetermined situation in which communication is possible with two or more other vehicles, the communication control portion 62 communicates with the other vehicles and assigns a role of (1) a reference vehicle or (2) a non-reference vehicle to the three of more vehicles including the host vehicle.
- the single point positioning calculating portion 64 and the interferometric positioning calculating portion 66 have the same functions as they do in the first example embodiment. That is, the single point positioning calculating portion 64 calculates the position of the host vehicle by single point positioning, and the interferometric positioning calculating portion 66 calculates the relative position of the host vehicle with respect to the reference vehicle and the double phase difference of the integer bias regarding the relationship with the reference vehicle when the host vehicle is a non-reference vehicle.
- the non-reference vehicle performs a RTK positioning calculation using i) the received data, i.e., the Ll data, the L2 data, and the C/A data of the five satellites, and the position of the vehicle according to single point positioning calculated by the single point positioning calculating portion 64, which aTe all transmitted from the reference vehicle to the non-reference vehicle, and ii) the observation data observed by the non-reference vehicle, and calculates its relative position (vector) with respect to the reference vehicle and the double phase difference of the integer bias regarding the relationship with the reference vehicle. Then the non-reference vehicle performs a ratio test or the like to determine the reliability of the RTK positioning calculation.
- FIG 5 is a flowchart illustrating the flow of the process executed by the control apparatuses 60 (mainly the reliability determining portions 68) of the non-reference vehicles after performing the RTK positioning calculation.
- the control apparatuses 60 mainly the reliability determining portions 68
- the reliability determining portion 68 performs a ratio test (S200) on the integer bias N ⁇ AB calculated by the interferometric positioning calculating portion 66.
- the ratio test is performed as described below. For example, a case will be assumed in which there are four pairs (j, h) of paired GPS satellites 10, e.g., (1, 2), (1, 3), (1, 4), and (1, 5), and the real roots of four integer biases (n 12 , n 13 , n 14 , and n 15 ) and the first candidates N 13 U N 14 J , and N 15 O and second candidates (N 12 2 , N u 2 , N 14 2 , and N 15 2 ) of integer solutions of the integer biases are calculated.
- the ratio R is a ratio of i) the range (norm) between the real root of the integer bias and the first candidate of the integer solution of the integer bias to ii) the range between the real root of the integer bias and the second candidate of the integer solution of the integer bias, as shown below.
- the ratio R is typically indicates that the reliability of the first candidate of the integer solution of the integer bias increases as the value increases.
- the reliability is determined to be high. If the ratio R is equal to or greater than the predetermined value ⁇ i (e.g., a value of approximately 3), the reliability is determined to be high. If the ratio R is equal to or greater than the predetermined value ⁇ 2 (e.g., approximately 1.5) but less than the predetermined value ⁇ i, the reliability is determined to be medium. If the ratio R is less than the predetermined value ⁇ 2 , the reliability is determined to be low.
- the predetermined value ⁇ i e.g., a value of approximately 3
- a signal indicating such is transmitted to the other non-reference vehicle C (S204). If a signal indicating that the reliability as determined by the non-reference vehicle C is high is also received from the non-reference vehicle C, it is determined that the integer solutions of the integer biases calculated by the non-reference vehicles B and C this time are correct and those integer solutions are fixed in the vehicles. Then the relative positions among the vehicles are calculated by RTK positioning calculations using those integer solutions (S206 and S208).
- the reliability is medium
- the observation data of the non-reference vehicle C is requested and obtained (S210).
- the interferometric positioning calculating portion 66 is instructed to perform a RTK positioning calculation for the relationship between the Host vehicle and the reference vehicle C (S212).
- step S202 If it is determined in step S202 that the reliability is low, and it is determined in step S214 that the double phase difference of the integer bias does not match, the satellite responsible for lowering the ratio R is identified (S216). More specifically, ratio tests are performed sequentially omitting one of the pairs (1, 2), (1, 3),
- the reliability is determined by comparing the ratio R calculated by the ratio test performed with the identified satellite omitted with the predetermined values ⁇ x and ⁇ 2 (S218). If the reliability here is high, the reliability is regarded as being high and a signal indicative of such is transmitted to the other non-reference vehicle C (S204).
- step S218 If in step S218 the reliability is medium or low, it is determined whether the inequality expression of Expression (11) described in the first example embodiment is satisfied (S220) using the phase integrated value ⁇ H B C calculated according to the observation data obtained in step S212 (i.e., by requesting and obtaining the observation data of the non-reference vehicle C when step S212 is not performed).
- the observation data for the satellite for which the radio signal was not observed with the reference vehicle A may be reflected in the phase integrated value ⁇ BC-
- Expression (11) is calculated by selecting two satellites so any pair of satellites, except for the satellite that was identified in step S216, is selected. If the inequality expression in Expression (11) is satisfied, the reliability is regarded as being high so a signal indicating such is transmitted to the other non-reference vehicle C (S204).
- step S220 If the determination in step S220 is No, it is determined that the currently calculated integer bias is unreliable so the signal indicating that the reliability is high is not transmitted from the non-reference vehicle B to the non-reference vehicle C (S222). That is, the integer solution of the integer bias is not fixed. In this case, interim measures are taken such as continuing to use the previously calculated integer bias.
- the real root of the integer bias is obtained by an instantaneous positioning method.
- a method other than that described above may be used.
- a method may also be used which uses only the double phase difference of the phase integral value and does not use the double phase difference of the pseudo range.
- the GPS receiver is a two frequency receiver capable of receiving both Ll and L2 waves (L2 being on a frequency of 1227.6 MHz) transmitted from a GPS satellite
- the double phase difference of the phase integrated value for the L2 wave may be used additionally or alternatively as the observation quantity Z.
- the double phase difference of a phase integrated value for a carrier of another band (such as the radio waves of an L5 band planned to be added in the future) may be used additionally or alternatively as the observation quantity Z.
- a single or double phase difference of a pseudo range based on a similar PRN code (pseudorandom noise code) other than a C/A code (such as a P code) may be used additionally or alternatively as the observation quantity Z.
- Mt may request and obtain the observation data of the non-reference vehicle B, perform interferometric positioning regarding the relationship between the non-reference vehicle B and the host vehicle, and determine whether the calculated double phase difference N jh B c of the integer bias matches the difference between N JH A B and N jh A c > just as in steps S212 and 214 in the second example embodiment. If it matches, the reliability may be regarded as being high.
- the invention is applied to GPS.
- the invention may also be applied to a satellite system other than GPS, such as another GNSS (Global Navigation Satellite System) such as Galileo, for example.
- GNSS Global Navigation Satellite System
- Galileo Global Navigation Satellite System
- the invention may be used in automotive manufacturing and automotive parts manufacturing and the like.
Abstract
Description
Claims
Priority Applications (3)
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US12/989,007 US8259009B2 (en) | 2008-04-23 | 2009-04-22 | Relative position detecting apparatus, and relative position detecting system |
DE112009001008T DE112009001008T5 (en) | 2008-04-23 | 2009-04-22 | Device for detecting a relative position and system for detecting a relative position |
CN2009801145861A CN102016625B (en) | 2008-04-23 | 2009-04-22 | Relative position detecting apparatus, and relative position detecting system |
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JP2008112968A JP4798168B2 (en) | 2008-04-23 | 2008-04-23 | Relative position detection device and relative position detection system |
JP2008-112968 | 2008-04-23 |
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WO2009130570A2 true WO2009130570A2 (en) | 2009-10-29 |
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PCT/IB2009/005320 WO2009130570A2 (en) | 2008-04-23 | 2009-04-22 | Relative position detecting apparatus, and relative position detecting system |
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US (1) | US8259009B2 (en) |
JP (1) | JP4798168B2 (en) |
CN (1) | CN102016625B (en) |
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WO (1) | WO2009130570A2 (en) |
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US20220155448A1 (en) * | 2019-05-16 | 2022-05-19 | Mitsubishi Electric Corporation | Information processing device, information processing method, and storage medium |
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Also Published As
Publication number | Publication date |
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US8259009B2 (en) | 2012-09-04 |
JP4798168B2 (en) | 2011-10-19 |
US20110037647A1 (en) | 2011-02-17 |
JP2009264844A (en) | 2009-11-12 |
WO2009130570A3 (en) | 2010-06-10 |
DE112009001008T5 (en) | 2011-02-24 |
CN102016625B (en) | 2013-09-18 |
CN102016625A (en) | 2011-04-13 |
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